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The accuracy and diversity of information flows have become major characteristics of the modern age Big Data. it may not be noted that information about people, organizations, and events that are deemed critical bottlenecks within the deployment of trustworthy machine learning solutions. Despite the exponential nature that the field of data has followed, the quality of this kind of data is often low, particularly represented by extreme cases of Class Imbalance and Noise. Conventional hard computing paradigm based on Aristotelian logic and sharp decision boundaries, often present catastrophicFailure Modes when faced with so many data pathologies. Generally, traditional classifiers are prone to making biased predictions towards the majority class and at the same time overfitting to noisy cases that contaminate the manifold of the feature set. This research paper offers a comprehensive, expert-level examination of the methodologies of Soft Computing (SC)—including Fuzzy Logic, Artificial Neural Networks, and Evolutionary Algorithms—as a solid substitute in dealing with the uncertainty of real-world data. We will critically analyze the theoretical foundations of SC, explaining how the tolerance for imprecision and incomplete truth makes possible the design of decision boundaries robust to overlapping class distributions and the presence of noise within the labels. Moreover, we will introduce a novel Hybrid Soft Computing Framework, namely the REF-DB (Robust Evolutionary-Fuzzy Data Balancing), which jointly exploits the ability to efficiently handle label noise of Fuzzy Logic Filtering and the global optimization potential of Evolutionary Under sampling. This paper will review state-of-the-art techniques operating at multiple tiers: from FSVM, Genetic Fuzzy Systems, to the latest trends that involve LLMs for semantic data augmentation and Quantum Soft Computing for high-dimensional feature mapping. Our work presents a thorough comparison experimental evidence drawn from several benchmark datasets, such as KEEL and UCI. We show through a proper comparative analysis that hybrid SC approaches guarantee maximum values of robust metrics, like the G-Mean and AUC, outperforming hard computing baselines formed by singular approaches. The study concludes with a forward-looking discussion on the integration of Neuro-Symbolic AI and Quantum Machine Learning, positing that the future of robust data analytics lies in the fusion of evolutionary adaptability and fuzzy reasoning.